The given vertices of ellipse are and foci are .(1)
Since the vertices are on the axis, so the equation of the ellipse is represented
as ,where is the major axis.
Vertices of ellipse are represented as when is the major axis.(2)
Compare vertices in equation (1) and (2)
Foci of ellipse are represented as when is the major axis. (3)
Compare foci in equation (1) and (3)
Substitute values of and to determine .Also,
Equation of ellipse is
Therefore, the equation of ellipse with vertices and foci is .